Let A be vector parallel to line of intersection of planes `P_1 and P_2`. Plane `P_1` is parallel to the vectors `2hat(j)+3hat(k) and 4hat(j)-3hat(k)` and that `P_2` is parallel to `hat(j)-hat(k) and 3hat(i)+3hat(j)`, then the angle between vector A and a given vector `2hat(i)+hat(j)-2hat(k)` is

Options

A. `(pi)/(2)`
B. `(pi)/(4)`
C. `(pi)/(6)`
D. `(3pi)/(4)`

Answer

B, D